{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Comparison between the external depolarization tensor of an oblate ellipsoid and a sphere"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This code presents an empirical validation of equation A4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Vanderlei\\Documents\\fatiando\\fatiando\\vis\\mpl.py:70: UserWarning: This module will be removed in v0.6. We recommend the use of matplotlib.pyplot module directly. Some of the fatiando specific functions will remain.\n",
      "  \"specific functions will remain.\")\n"
     ]
    }
   ],
   "source": [
    "from __future__ import division\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import tri\n",
    "from mesher import OblateEllipsoid\n",
    "import oblate_ellipsoid\n",
    "\n",
    "from fatiando.gridder import scatter\n",
    "\n",
    "from fatiando.mesher import Sphere\n",
    "from fatiando.gravmag import sphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def compare(x, y, z1, z2):\n",
    "    triang = tri.Triangulation(x, y)\n",
    "    \n",
    "    ranges = np.max(np.abs([z1.min(), z1.max(),\n",
    "                            z2.min(), z2.max()]))\n",
    "\n",
    "    plt.close('all')\n",
    "    plt.figure(figsize=(12, 3))\n",
    "    plt.axis('equal')\n",
    "\n",
    "    plt.subplot(1, 3, 1)\n",
    "    plt.tricontourf(triang, z1, 20,\n",
    "                    vmin=-ranges, vmax=ranges, cmap=plt.get_cmap('RdBu_r'))\n",
    "    plt.colorbar()\n",
    "    plt.tick_params(axis='x', labelbottom='off')\n",
    "    plt.tick_params(axis='y', labelleft='off')\n",
    "\n",
    "    plt.subplot(1, 3, 2)\n",
    "    plt.tricontourf(triang, z2, 20,\n",
    "                    vmin=-ranges, vmax=ranges, cmap=plt.get_cmap('RdBu_r'))\n",
    "    plt.colorbar()\n",
    "    plt.tick_params(axis='x', labelbottom='off')\n",
    "    plt.tick_params(axis='y', labelleft='off')\n",
    "\n",
    "    plt.subplot(1, 3, 3)\n",
    "    plt.tricontourf(triang, z1 - z2, 20,\n",
    "                    cmap=plt.get_cmap('RdBu_r'))\n",
    "    plt.colorbar()\n",
    "    plt.tick_params(axis='x', labelbottom='off')\n",
    "    plt.tick_params(axis='y', labelleft='off')\n",
    "\n",
    "    plt.tight_layout()\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "ellipsoid = OblateEllipsoid(0, 1000, 1000, 499.9, 500.1,\n",
    "                            180*np.random.rand(), 90*np.random.rand(), 90*np.random.rand())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[-0.29647642 -0.82790483 -0.47610432]\n",
      " [-0.18816261 -0.43811017  0.87900757]\n",
      " [-0.93632076  0.35019005 -0.0258914 ]]\n"
     ]
    }
   ],
   "source": [
    "print ellipsoid.transf_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "area = [-3000, 3000, -2000, 4000]\n",
    "x, y, z = scatter(area, 300, z=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x1, x2, x3 = oblate_ellipsoid.x1x2x3(x, y, z, ellipsoid)\n",
    "lamb = oblate_ellipsoid._lamb(x1, x2, x3, ellipsoid)\n",
    "denominator = oblate_ellipsoid._dlamb_aux(x1, x2, x3, ellipsoid, lamb)\n",
    "dlamb_dx = oblate_ellipsoid._dlamb(x1, x2, x3, ellipsoid, lamb, denominator, deriv='x')\n",
    "dlamb_dy = oblate_ellipsoid._dlamb(x1, x2, x3, ellipsoid, lamb, denominator, deriv='y')\n",
    "dlamb_dz = oblate_ellipsoid._dlamb(x1, x2, x3, ellipsoid, lamb, denominator, deriv='z')\n",
    "h1 = oblate_ellipsoid._hv(ellipsoid, lamb, v='x')\n",
    "h2 = oblate_ellipsoid._hv(ellipsoid, lamb, v='y')\n",
    "h3 = oblate_ellipsoid._hv(ellipsoid, lamb, v='z')\n",
    "g1 = oblate_ellipsoid._gv(ellipsoid, lamb, v='x')\n",
    "g2 = oblate_ellipsoid._gv(ellipsoid, lamb, v='y')\n",
    "g3 = oblate_ellipsoid._gv(ellipsoid, lamb, v='z')\n",
    "\n",
    "a = ellipsoid.small_axis\n",
    "b = ellipsoid.large_axis\n",
    "volume = 4*np.pi*a*b*b/3\n",
    "cte = -1.5*volume"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# elements of the depolarization tensor without the ellipsoid in the local system\n",
    "nxx_tilde = cte*(dlamb_dx*h1*x1 + g1)\n",
    "nxy_tilde = cte*(dlamb_dx*h2*x2)\n",
    "nxz_tilde = cte*(dlamb_dx*h3*x3)\n",
    "nyy_tilde = cte*(dlamb_dy*h2*x2 + g2)\n",
    "nyz_tilde = cte*(dlamb_dy*h3*x3)\n",
    "nzz_tilde = cte*(dlamb_dz*h3*x3 + g3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# elements of the depolarization tensor without the ellipsoid in the main system\n",
    "n_tilde = np.array([nxx_tilde, nxy_tilde, nxz_tilde,\n",
    "                    nxy_tilde, nyy_tilde, nyz_tilde,\n",
    "                    nxz_tilde, nyz_tilde, nzz_tilde]).T\n",
    "n_tilde = np.reshape(n_tilde, (nxx_tilde.size, 3, 3))\n",
    "\n",
    "nxx = []\n",
    "nxy = []\n",
    "nxz = []\n",
    "nyy = []\n",
    "nyz = []\n",
    "nzz = []\n",
    "\n",
    "for nti in n_tilde:\n",
    "    nxx.append(np.dot(ellipsoid.transf_matrix[0,:], np.dot(nti, ellipsoid.transf_matrix[0,:])))\n",
    "    nxy.append(np.dot(ellipsoid.transf_matrix[0,:], np.dot(nti, ellipsoid.transf_matrix[1,:])))\n",
    "    nxz.append(np.dot(ellipsoid.transf_matrix[0,:], np.dot(nti, ellipsoid.transf_matrix[2,:])))\n",
    "    nyy.append(np.dot(ellipsoid.transf_matrix[1,:], np.dot(nti, ellipsoid.transf_matrix[1,:])))\n",
    "    nyz.append(np.dot(ellipsoid.transf_matrix[1,:], np.dot(nti, ellipsoid.transf_matrix[2,:])))\n",
    "    nzz.append(np.dot(ellipsoid.transf_matrix[2,:], np.dot(nti, ellipsoid.transf_matrix[2,:])))\n",
    "\n",
    "nxx = np.array(nxx)\n",
    "nxy = np.array(nxy)\n",
    "nxz = np.array(nxz)\n",
    "nyy = np.array(nyy)\n",
    "nyz = np.array(nyz)\n",
    "nzz = np.array(nzz)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "sphere_fat = Sphere(ellipsoid.x, ellipsoid.y, ellipsoid.z,\n",
    "                    0.5*(ellipsoid.large_axis + ellipsoid.small_axis))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "kxx = sphere.kernelxx(x, y, z, sphere_fat)\n",
    "kxy = sphere.kernelxy(x, y, z, sphere_fat)\n",
    "kxz = sphere.kernelxz(x, y, z, sphere_fat)\n",
    "kyy = sphere.kernelyy(x, y, z, sphere_fat)\n",
    "kyz = sphere.kernelyz(x, y, z, sphere_fat)\n",
    "kzz = sphere.kernelzz(x, y, z, sphere_fat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Program Files\\Anaconda2\\lib\\site-packages\\matplotlib\\tri\\triangulation.py:110: FutureWarning: comparison to `None` will result in an elementwise object comparison in the future.\n",
      "  self._neighbors)\n"
     ]
    },
    {
     "data": {
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1Dvgo8G4z+zUz+wWCpa4fAr46eMmdwH8AVw72e6KZvZWgkRJuUwutRFofH2JO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\nhZdVteR7oimqj1VO+hxJnJJNHirSs91UgwOy9Xa3pYpJDQ4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vX/vwwWVnHjOPNx8zr8JW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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7840ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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y0mYauC3U5mTgiEibe4EtoTZHAvsjY3l0+OevJXzGwnTKcKp6VjbPjj9tp+4Z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bAAAL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\nslYTDYcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x186abef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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GEk79ZGanAR8DzgaeBfwCuMbM5ieMXwxcDXwPeAZwIfBZM3txaMxzga8AnwGe\nCVwJXGlmT81zXTN7H/AO4C3AkcCj/phpoVu6AHg5cDLwfGAf4BuR2/4ycBhwrD/2T4GLM/2AclIZ\nXYxOTzbqaPoaPmfGcguVVdRLZRUizVPsH0yxv16K/SKDtZVo6lKSKWsiKRi396F713k7A9W9Q13Y\njlnZSmmjJm+s/v9fldT10ruBi51zlwKY2ZnACcAbgfNixp8J3Ouce6//9W/N7HnAEuBa/9g7ge84\n5z7mf32WmR0HvB346yzXNTMD3gWc65z7lj/mdcBq4FXAZWY22x//GufcD/0xZwB3mNmRzrmbzeww\n4CXA/3HO3eKPeQfwbTP7W+dcpf8hKNkUMnITjaTrDOmkY+WmbROOLZw5tbHr56VJh0hzRj7+j1js\nh+7Gf/XwE+meriSaiq5WCn8uS+Jp3b2r2OugwUmbrP2boPqEU9GkUtnz5U1KKeHUH2Y2FTgc+FBw\nzDnnzOx64OiEjx0NXB85di3eCqPAUXirlsKuwUsSZb3uYmAsfC3n3EYzu9kfcxlwBLBbZMxvzex+\n/x6CseuDRJPve8BOvNVS/y/h+yxEySbfyE80otcr2VA2q6onHUmTiqrGhzUxURmVScfsPaa3fQsy\nohT7I9fracKpSCwvGv+bSlLpgYPIRG2samo70VS2D1Pa+dIST3UknIbBjlkLlHAaXvOAyXirhcIe\nBA5N+MxYzPjVwCwzm+ac2wosSDhn8B9YlusGY+OuNRYas805tzFmzILQmAfDbzrntpvZ2tCYyqhn\nEx2ebJTtzdGAzv7sGrBy07ZSyao81MtDpHqdjV89iP3Q4Z9fzRT7ZZRsvOSstm+hVW0mmqpo+J3l\nGmmq7t80LIqsqlIPJ6lJp7dWHfmVTZ38Y7mCScb2lU8045uysMCS1YaecLf9ZLuq6za1yklPuUWG\nWEUJpiD+1x37ofwKpyoo9ouMhqYTGm0lmupOMOXVxRVOVZfQFb0HrXDqvitu+hVX/ORX445t2Lw1\nafgaYAdPrBQKjAErEz6ziokrgsaAjf6qpmBM2jmzXHdV6NjqyJhbQmOmmtmsyOqmsdDnVwHR3emm\nAHNDYyoz8smmTql4ohH+utCkI4c2JxxtTTSi99DV/h8iMlGnHjR0Lfb3KOHUdvxXwklkOLWRaGor\nyfTwnQ9X1kC8aMIpzyqcLiSaAko4dcPUsX2Ztmj/2Pdeu2gxrz3lFeOO3Xr3fRz91n+ZMNY5t83M\nfo63S9tZv6NXAAAgAElEQVRVAGY2CXgR8ImEy98IvCxy7DjghsiYYyPnOM4/nvW6S/GSQccCt/tj\nZgHPAS7yx/wceNwf8w1/zFOA/YJr+f87x8wOD/VtOgav4u3mhO+xsJEuo+vMZKOikontK5dOmGyE\n38st5z1N2rS68Z9p2xONsCbuRSUVIuV1JvZDN2N/AW38TLsS/7tyHyLDrMlVTU0nmpool8tyD2ny\n/Eyq/P8qWnqWJ9G0ZkszfzOrpG7onA+82cxe5+/c9ilgOnAJgJl9xMwuDY3/NHCgmZ1nZoea2VuB\nUxjfIPzjwPFm9m5/zAfwGoJ/Mut1nXMOuBB4v5m9wsz+CPgC8ABwpT9mA/A54Hwze4GZHeF//gbn\n3E/8MXcA3wU+Y2bPNrM/9u/jq1XvRAcjvLKpE5ONmp5mDxqX60l3gWbhVT/lTkqwdPEP/CaecusJ\nt0hxnYj9UHm5dJZxwxL7oXvxX7FfZDg0mWiqOsH0wIpNAOy7z8xCnx+0wilrOV1VBiWasiSTwmPm\nTa8vfvZhhZNk45y73MzmA+fglcfdChzvnHvIH7IAWBQav8zMTsBLLr0TWA68yTl3XWjMjWZ2OvBB\n4MPAXcCrnHO/yXFdnHMfNbM9gIuBOcCP/THhP4qW4O0s93VgGl5i6a2Rb/O1eAmmYBe6K4C/yfuz\nymIkk02NTjZqbPJa9Il1n8rq+pRoCmjSIdJNiv2K/XVS7BepR1OrmppKNNWVZIr7umjiKUlTCacq\nEk1Rgz5TNhnV9YTTKJTTVcU5dxFPlKZF3zsj5tiP8FYqpZ3zCrykTqHrhsacDZyd8v5W4O3+K2nM\nOryEU+1yJZuWLFnCzBnjtyg/7eQTOe3kEyu9qTo1Ntno4EQjeo7Mk44CT7irkHeysXzDFgAWzZ4e\n+/6w6euk4+tfu5xvXPG1ccc2P/pIpdeYtnAh0/ffL9vYxzu9iUMnDEPsb4xifyZpm0MUSTQt37Cl\nE7FfCad0dcd/xf5qLVmyhD02ju+Je/JznsbJRz2tsXsYpl3OqkwyRRNMWcZlSTxl6d9UdcIpWuJV\nR6Ipi7jz5k1AdT3h1JbLvn8Tl//gJ+OObZo6q6W7kSblSjZdcMEFPO2gbL/ER1pNk42qe2+U3rGu\npConG0GiKfrPbU0+1DQ22UmnnMpJp5w67tiyu+/kiCOOaOmOZJBhiP2NPGjoeKIp7lwDY3/DDxuK\nJprC/xvoQvKpLn2M/aD43zcXXHABB//iyrZvoxF1rWqqexVT0c+mJZ7qSjhNWzT+901cH6G2Ek1J\n1mzZUWv5XaCphFNbq5tOO+YoTjvmqHHHfj33GYr9I2Ckyuj6PNloqslrooonHHUlmrK819QERAkn\nkW5Q7O+OpmJ/3PuK/SL90sdVTXU0+i6TYEo7Z9UldmnqSjSt2bJ9wrF506ud3uZNOBVZ3QSjscJJ\nRs/I7EbX18lG2i5DVV9noIq+v6TJxtrHdlQ+2Uj6TPAaFtqlTiSeYv/g6wxUc+yH6hNNSZ9R7Bfp\nh77tPlfHjnIPrNhUS6IpizLfy5xDxj+cbjLRFBwPv6rQ2M52DexSp53ppEkjkWzq42SjionGlvvu\nY8t991V0R/kkNYhNSzQlqXKyEXeOOicfTTaz1aRDZLzO7DyXQ1VJpjyxv8qkVt7YD80kmuLOUWf8\nV+wXKa6PK5qqEiSYmkgyDbpGkYRT24mmOHUknwaJfg+5PttAwkmkKUOfbOrbZKOOiUbWSUema2dI\nqvUl0RR3zmF88i0iNaroQUOVsT+I+ZUmnGqI/dBOoinpvFXH/i7vnCcinqpWNZXV1iqmoteM69fU\nxURTnKLJpyb7RdWdcNLqJmnK0CebGlHBZKOOiUb0eJ57SZXy/baZaLpnzaOJ5yqiqkmHnnD3n5m9\nzcyWmdkWM7vJzJ6dMnaBmX3FzH5rZjvM7IKYMW82sx+b2Vr/dV3aOSW/Pj1oGNXYX1WiqY7Y37cH\nDor99VDsb17fVjWVTTS1WSoXvockcd9fW4mmuOTQvWs3x9x1PnmSTnkSTmVWN4FWOMlwGOoG4X2Z\nbDRVMhEeM33//TPdU9Zd6pImGpA/0ZRl16GoYLIRnnQcPG+PxPNkFVyvbGPZphrGSvXM7DTgY8Bb\ngJuBJcA1ZvYU59xDMR+ZBjwInAu8G3AxY54PfBm4AdgKvA+41sye6pxTd8iSGov9JR80tBH7IT3+\n54390I2HDFXH/uCafYr9ahheLcX+4VfXDnRZ1JVgusOPoYfljDtlGoY3lWiKChJNSQmng+Ymr6qN\nE1xjUIPx4N6yNA0v2iy8CW3tTCejJVey6fFN64B+bH/dh8lG0305kj43aOKRZ9IR1WSiadDxMhOQ\nqpJOTdCEo3LvBi52zl0KYGZnAicAbwTOiw52zt0HvMsf+6a4Ezrn/iL8tZn9JXAScAzwpSpvftQo\n9mf/bKHYH9mZtAuJpkHH2479etjQW4r9kqrIqqY6kkx3xMTOokmnOA/f+TB7H7p3prFNJ5rSFE1C\nVZ10KpNw0g510ndDubJpFCYbVTb+3nLfffknHaEJR1WTjSoTTVnGFpmAlJl4aMLRP2Y2FTgc+FBw\nzDnnzOx64OgKL7UHsBuwtsJzjhzF/vznKvOwQbFfhpVi//Aru6opb6KpqSRT0pgsSaesq5vW3bsq\ntpRukLiysLoSTWnuXbs506qnNVu2D0w49d2wrG6asmC/XH2opmyKW3gqdRi6nk3DPtmoa4e5QefM\ne89dm2wkfT545VW0n0dT/ZvUv6My84DJQDSwPAiUK8Yf7zzgAeD6Cs8pdRiSRFP4nGnnVezPdk+D\nKPb3jmJ/C5rq19R0oqlKd2zatuuV93NN2Lo8+++MNhJN4fNkOVeWfk5Z+jhpdzoZVUOXbGpEi4mm\nOlV1/qomG2lNWqtuCFtk4tG3BrLSTWb298CpwJ8757R9VUGNPGgYsocM0WtklvBz6EOiKe58iv3S\nBsX+fmqrdK5IgqkpWZOEaeVgRRJNv1u7ecIrrzxJp/T3+5tw0s50UqehWhs4jJONKiYYG5atnHBs\n9gELE683qHn4Ln4p3aRNq1MbhFet6slG3LmzllkUaSDbVDmdejdNdNkPf8rXfvSzccc2bE6dOK4B\ndgDRf8HHgIn/YeVkZu/BaxD7Iufcr8qery5d79c3jLEfysf/PLE/TVI5XV2xv6lEU9y5FfuHk2K/\nBJpuCl5VoqkKd2zaVkkPpzwev/+uSpIZcYmmOGkJpwNTSueC86eV1w0qq1uzZUempuEio2Sokk21\na3CyUcckI/p+3klHlmbhVa5qipM02bh7dfwv8yePFdtZI8/Eo4odi6Rak+ftG/vv6mtfs5jXvubU\nccduueMejnztO2LP45zbZmY/B44FrgIws0nAi4BPlLlHM/s74B+BFzvnbilzLqlZyV3n8uhi7M9C\nsT8b9e6rl2J/fzVVQldGG+VzTa5mKrobXdTW5UsnNAofZN70yYmrg7ImmgYJPjco6ZR3F7uwQQmn\nrjYLH5beTdI9Q5Nsqv3JdkOTjTITjUGTjDz3kHl1UwZtTTYGvZdlMnLPmkcr20Y7TBOOXjkfuNTM\nfgb8FG+3oenAJQBm9hFgH+fc64MPmNkz/X+cCTzJ/3qbc+43/vvvA/4FOB2438yCtdWbnHP1Ld+Q\n/ErG/qwPGupOMmW9h7wrW9OMQuzv6sMGrW6qhGL/kCmzqqmN8rmuls3BxCbh6+9azpxD0n8nRE3e\nuCpTadlBc2dU1qsJBied0hJOo9A0XKRK6tmURccnGxuWrSw00SjymQnfi/+zSUr2tTnZGOTu1Zsy\nfT5L6UaRHh5NNIxVs9jynHOXA+8BzgFuBZ4OHO+ce8gfsgCI/oV1i/96Ft6k4hbgv0Pvn4m3A9EV\nwIrQ62/r+S6GV2ObQhTQVOzPG8srif2+4Oe/587xE4FRif2QP/431SxcylHsHy5KNGXbka5uWVfm\npCV0wkmiXz+wsfC9pPV5Sktule3f1NXeTSJ1UGq2ZlkmG0UmGlWtYqq6pGLPnZt3lVN0ebIRd560\np91ZnnJ39Qm3lOecuwi4KOG9M2KOpSbynXP51pdLOxoonW4r/ifF/qpXttaha7G/q7S6qTzF/mb0\noYSuSVUmmrqQYMratymtlC5OkGgalHB66r6zUt//3drNsauc6lzhVKacTqRPtLJpkJonG3knGkVX\nMa2/Z9WuV9w5y95X06qabETPWfa8XXzCrdVNIs3KGvvzxNmiq5jyxv40SStbo+p80NBG7K9jdatW\nN0kfPHLVp9q+hdY1vaqprURTVf2aAluXZ3vgkjXhUqaP0q8f2DgwIVX1Cqc8SbO86lrdpF3p8jGz\nuWb2ZTPbYGbrzOyzZjbw6ZSZnWNmK8xss5ldZ2YHR97f3cwuMrM1ZrbJzK4wsyflvbaZ7WdmV5vZ\no2a22sw+amaTQ+9PM7PPm9ntZva4mX0z5l5P9O/xQf9aN5jZi/P8nIYi2dTFMoqqE01lk0zRY3Hn\nz3p/eUvpwuqcbCxbuSnxlUfS+VVSIdIttcb+gg8ahjn2J0kqpQvrc+zPSrFfRMpoo0fTvvvMrCzR\nlHWFWtFSujIJJxicdKqjpC6Nyul678vAYXgbSbwc+FPg4rQP+H373gG8BTgSeBS4xsymhYZd4J/v\nZOD5wD7AN/Jc208qXY1XxXY08HrgDXhl4YHJwGbg48D1gIu55T8BrgFeChwO/AD4Vqg/4UAqo0tT\nYLJRZelEmVKJuElF9P05B48PcnFlFUVKKoJSurm7Tx73hLuuyUaWCUV0zAEL03+x3r16U2xpRV9L\nKlROIVK/qhJNfY39gVGO/V0rp1bsl65rooSuaL+mJnefqzrRFLeqqWhSae9D9y57O4VL6eZNnzIh\noVN0N7pAkHCKK6+rsqRu0M500l9mdhjwEuD/BLuKmtk7gG+b2d865yYEHTMzvI0mznXOfcs/9jpg\nNfAq4DIzmw28EXiNc+6H/pgzgDvM7Ejn3M0Zr/1ivGTUMX6fwdvN7J+B88zsbOfcdufcZuCt/uf/\nBJgdvWfn3JLIoX8ysz8DXgHcluVnNRQrm/oka+lE0clGUrlE0tgs142736xJtUCbk404RZ56B1RS\nITLkanrQMJSxf8DPqo+xv+zq1jwU+0XqVaYxeBFlG4NXIZxoClYuVV0ml0XRUrpogmZQb6SlKzfG\nvgZJWuVUZIVTUVrd1FtHA+uDZI/ve8BOvBVLcRYDY3iriABwzm0EbvbPB3AE3iYS4TG/Be4Hjspx\n7aOB20MbWgBcC8wCnprtW5zIzCbh7baaORPf+2RTbWUUJXegi5N1olFVyUTYut+tZ93v1sd+Lu4e\nogZOOnKU0g0S/YM+rp9GmWRR1vOU7eEhIj1UU+yvK9HUeuz3ZSmlGyRLoqmJ2B933YAeNohIl0UT\nTUXsfeje4151iJbSDUo4Qf5kT5bEU96EU5KkcrosvZvKJJyqpr5NmS0AHgwfcM5tB9b67yV9BryV\nTGGr8ZJQwZhtfhIqOmZBaMygay9IuE74Pop4D7AHcHnWD/Q+2VSLGnp1dGWiUfWkI0kw4Uhbvh/3\nB3lcoimqiolG1nOWSThpwiFSny716su70jOqTOPvJHXH/kHfcxD7F8aUcmSN/XGJpqoVOWffHjZo\nkwjpqrpL6MqsaupjCV2RRFM0sVRXcgm8Uro0WRJOUVlWMAXjksbmSTjVsbqpDK1uqpaZ/auZ7Rzw\nekrVl634fLWc18xOB84CTnXOrcn6OfVs6og8E40spRJxE4vwe3sdOGfCOevs47Fw5tRxyZQiiaYs\nk4L1DyX/EpgzP72x4LKVm2L7eST18IDqezit3LQtdnJWBfXuEBmghRWtRZJMgyTF/zZif9SoxP68\nvZvqjP0io6iNRFObJXRZE01VJpPW3buKvQ5KXySxdflSpi1aHPve5A0rJiRLJm9cVetKn6UrN7J4\n4cReTb9+YGNsD6c4Sf2byvRu2jFrQead+WSinXvOT0y8/dc3r+Kyb35r3LGNGxP/W/134D8HXG4p\nsAqI7hA3BZjrvxcnOD7G+FVHY8AtoTFTzWxWZHXTWOjzWa69Cnh25PpjofdyMbNXA58BTnbOfT/P\nZ5VsiqpxB6IkWScbWftxpCWawmOKTjrKqmOykTbRiI4ZNPGIkzbpSNO1ZrEikkCxf8K9pcX+KQvj\nJw9p2kg0hd9Pi/1FEk4iIl2QlGiqMrG010ELKul/FW0UHpdwisqy49vDKx/Z9c97L9wzdWyehFOR\nhuF9t9t+hwxchdYnr/7zV/LqP3/luGO33v4rjnzxKyeM9VfsDFy1Y2Y3AnPM7PBQ76Rj8KrGbk74\nWJCkOha43T/PLOA5wEX+mJ8Dj/tjvuGPeQqwH3CjPybLtW8A/tHM5of6Nh0HbAB+k3B/cbvRYWav\nAT4HnOac+07CZxP1OtlUeRlFC5ONLKqcaETHt5VwCmsi0RQ3Pm7ikTThCO6riUmHnnBXYK8xmL8o\n29hV7TfzlHy6EvvrptjfXOwPrpcn4aSVreXNnTmDZVWeULG/N+osoWu6KTgUX9VUtoSuih5NUYNW\nK6VZf9dy5hwy/r/B6OqmQQmnLKubkkrfIFviKSnhFCcp4ZSHVjcNF+fcHWb2XeAzZnYmMBX4JPDV\n8E50ZnYn8PfOuSudc87MLgTeb2Z3A8uAc4EHgCv9824ws88B55vZWmAT8B/ADc65n+S49rV4SaUv\nmtnfAQv9a13knHs8dH9/6H9+LrCnmT0DMOfcbf77pwOXAn8D/NTMgv8wN8f0lYqlnk0dl7VkIm2y\nsfL3m3a94j5b5JpVuGfNo6UmG+sf2px7shH9fJy8PTz61L9DvTtEqlPng4Zhjv3QfKKp7GfT+vcl\nydu3D9S7T6SsNhJNbTksJTmddVXTXgctmPBKG1tUdGe66MqZaMPwqjy88pFxyaewuB5OZRuGZ1mF\nlaZICWEdfZvUKDyT1wJ34u0EdzXwP8BfRcYcgrcDHADOuY/iJY8uBn4CzACOd86Ff/kvAf4b+Drw\nI2AFcGKeazvndgIvB3bgrYT6Il7S6KzIea7GK+F7OfB84Fa81VWBN+Pliy7y7yN4XZjwM5mg1yub\nKlXjk+20nh1Ft7mGwU+z4yYYK3+/iYV/MP7JR9an3FUq2wi8zEQjep48K5yKrG4qUkqn1U0iDWkp\n9pcxTLEf8j9kqELe2C8i0hVxSaas5XNlEkZl5V3hlGUnt6weXvnIwPK6QFL/pugKp7yldFlWN0l/\nOOfW4SV90sZMWNjjnDsbODvlM1uBt/uvMte+HzhhwJjUngjOuRemvZ9Fb5NNlZZR9KyEoshEI/p+\nlklHU6qeaKxf+dCEY3MWzs9/Yy1Twklkoi7tQldG2oOGUY39UC7+x8V+SI7/TSSc9LBBZKK6Suiq\nWNVUpDl4kyV0eRJNTSSWsjQJDxuUcBok6wqjOHEJpyoahkclNQrPSuV0MkxURtczWUomsshaVlG1\naFlBE4mm4HjiexWV06UpUk5RF5XSifg6+qAhTtlEU9q4JmJ/VFzsT4q5WUqmk+L7oPdGiWK/SL91\nIdFUxXkHldTlLSULyuTWr1w97pU2NiyunA7S+0IVVeVqLZE+6GWyqU+rmqosoxiUaEpyzyPbuOeR\niU9Psk5O6pI10ZR1opFlQpE34dQ29e8QeUKfVjXVVUIXlfaQQbF//Lika5RRV88+xX6R4ZZnVdNh\nM6d2ItGUVZaVa9GE0yD3FljRlJRwitNkwimLIr2bRLqod8mmPk02BilSRhGVZ6JR9aRj3NbXWXd/\nSZA22RikzqfWWVc3ZZlwdGl1k0jfjPIOdHEPGtqM/UUkxb8mY3+e8cO6slWkbXXuQjeMkpqAF000\nzTlk0bhXEVUls/ImnKKSEkRhcQmnpKbhS1duHHjOaBlfUhKsbKNwkWHR255NlejoZCNO0mQjTtzE\nIvzewXvm6wUR3vp6+v775/psFnF/1NeZZFq/8qFe9nASkYq0HPvLbAwBg1eyJh3PG/szKfGgoenY\nX1aRDSK6Zu1jO5i7uxrUirQpy6qmtJ3msjYDz5JMmnPIotIJwLx9m5LUsasaeAmnOQvHJhzP0zRc\nRIrp3cqmUVBm++m0RFMeTe1GVOdkY9PKe3LdV9ZyiiJbYHeNeneIdE/WVU1xkkrmomOqMG5Va0F1\nx/488b+JMmqtbhLRqqasiiaawgmfoquW6rT+ruW5/x2oaoVQFT2ckuRd3VRH36a6EnUiZY1usqlH\nq5rixD3ZzjqRCI8L70zU1o5EgSz9OSD7U+2ZCw8ue0uV04RDpGU9j/1xqkoiRdW9qjVQR+xPiv99\nahauvk0ioyWpNxN4Saa6Ek1FElODVjIFiaXwK/xeWJ7d6MrIk3AKa6tvk8gwGN1kU0eVebIdZ8Vj\n21nx2PjMei2lFA2qogROEw6Rftk5c+IS+GGXp3w6Koj90fgfJ/ygoc5VrWXVWf7c1U0iRGT45U0y\nRXs0dX1F0yDR3eiKmrNwLLZcLixP0/Ak0b5Nw6qpJKAMt94lmyqZcDT0ZDttN6KyPTuiBj3ZzjLh\nqFOWhMmc+TMauJN0ZSYcde1KJCIV6cCqpqTYX6Z8Oqvwg4bwqtamJMXIPLG/i/32ssb+rqxsVRm1\nDKN199YfQ6sSTixVmWRqOtHUxK5386YntxdevHAWAHsv3HNc76UmEk5RahQuEq93yabSKp5sbF9Z\nbieFsDy7EJVRV8lFk7o44chKEw6RYrq0uqnK2N+ULsf+Jh82lFnZOgw9+0SkfUmrmQYlmWBikicu\nyTRtUb7eemUTVVmSfYPGTN6wIvd1g4QTUCrhFC2ly9u3qQ47ZnV3pXHX7Nhjb3bMWpD9tUdyY32p\n1uglm4ZUltK4uNVNTW9/HUj6g73JJ9yacAwvN2MuO2eOZXq5GXPbvl3JaNKmEk8jO7CqKUnV5dNR\nXYr9VejiwwatbO0Gxf5u62OJV5PCSSaI32kuz2qiaYsW73rVJcv9rLt3VemVZwfNHT8/eOq+TySZ\niiac8sjStylpdZPIKButZFOHVzXlUUX5Q9wT7sKTm9DW11WsPMibcIp7VSlu16QkmnCIDL8mYn/V\nGzYECadw7A8STlUmtqKiJdRpifo+x34RaVcVJV0P3/lwBXeSX3Q1E2RPNKWtatptv0N29d3Jkniq\nIxkYTTIFXxfdmfDAUNIpa8KpyqRToGzfpjp2pBPpotFKNlWoqURT2QnHPruPr3UOP+EOJh1xT7gH\n9Q+pYuvrNGVLKpImInVMSESk4zq8qgnqacodjf1haQ8bivaOqqrEUbF/PG0QIcNmGFc3RRNFXRMk\nnfIknsoKr2bKm8SbvDH991DWhNOgVU519G4SkfFGK9k0v9u/4OraBWif3aeMm3iklVTEPeGOa2hb\nJNnWlV5FUG8ZRh2rmzThECmhwtjfxV5NSWXUeWJ/WJBwGriRRU2/U+vs39R27O/S70GRYdNEw+o+\n2jF7n13/PCjxFDQaz5MUjP7cw0mmKleLhUvp0hJOSaucBon2baqKmoTLKButZFNFujjZgMF9m+Ke\ndOd9wh27w16OVQN5EjF1N4xt8yl33gnHwoTdSkRktBQpo84b+8OChFOZ2N+1BEvZ2K+efSJSlbhV\nUVWU0AWCRNOO2fvsegWqTjylrWZKSjptXZ48p5o3fbL/v0/8DktLOIWTTlUo0iRcfZtExkteZx/j\nPf/4z8yeNf4/5NNOPpHTTj6x0puSwRb+wcxCDV7TSitW/n7ThInM+ntWMefgBWxYtpLZBywc9972\nlUsnlNNN2rS60h2j5syfwfqHFLiHyde/djnfuOJr445tfrSep0lSjaGI/fMXlS6na/pBw14Hzqms\nn1JSwungPaemxv6wLffdx/T99x8f+x9aDvMXjVTsf/JYcyUzw/agIRr/d5symQ0bNrR4R5LmH756\nLbNnTBt37OTnPI2Tj3paS3ckRQU7m03euGpcwinYAS5IOAE8fv9d45JWW5cvHZdwiuu3tNdBCyYk\nmh5YsamyEsN506fsWiF00NwZu5I6QcIp2kNp8cJZA5NFg3o5hVdISTmXff8mLv/BT8Yd2zRVP99R\nkCvZ9O8fPpdnPfMZdd1LJqV2I4LSE448k43p++8f/zQYmH3AwsElCr4qJxxxgglH2LrfrZ/QLypI\nOAUTDgglnPwJR9Tax8o3wAtWODUx8Why++22zd19civXPemUUznplFPHHVt2950cccQRrdxPFmb2\nNuC9wBjwC+Adzrmfpox/AXA+8IfAcuCDzrlLI2NOAc4F9gfuBt7nnPtOLd9ASV2I/W2rKtGUFPvn\nHLygcL+kKgQJp7TYHxb3sKFqiv3DJxr/586cwS233NLZ+D/qsf8jr3kxz9x/4eCBHRJOeoyycPIo\nLEg6QT2Jp3CiKY/H778r9p7nTZ+8q5l2sMJpzZbtu1Y4FV1JFJdoylNyJ/mcdsxRnHbMUeOO/Xru\nMzob+7Mws7nAfwAvB3YCXwfe6ZxLLeMxs3OAvwTmAP8L/LVz7p7Q+7sDHwNOA6YB1wBvdc49mOfa\nZrYf8CngBcAjwKXAPzjndvjvvwBYAjwbmIX3++jfnHNfSbjvPwZ+BPzSOfesgT8gn8roOqZs36ZB\npXRJ8jYLT0qi1WnO/Bmpr7ocsDDfU5mD5+1R051IG8zsNLygfzbwLLwJxzVmFluLY2aLgauB7wHP\nAC4EPmtmLw6NeS7wFeAzwDOBK4ErzeypNX4rvVb6QQN0vm9fGWVjf1idpdRFtBX7ZbQp9ksbqiyh\ni1qzZceuF3iJp+AF6aV24WtES+3S7j9v0ikQbhI+b/rkXSV13tfJayWylNJVsTtduISvLoMapTch\nKWkpAHwZOAw4Fi/p86fAxWkfMLP3Ae8A3gIcCTyK93slvIT0Av98JwPPB/YBvpHn2mY2Ge/30RTg\naOD1wBuAc0LnOBq4DTgR+CPgEuALZnZCzH3PAb4AXA+4tO8xajSTTQUnHF3r1VSkd0cWTTQLD+RN\n5Gg863EAACAASURBVNQpz6SlyTIKad27gYudc5c65+4EzgQ2A29MGH8mcK9z7r3Oud865y4CrsB7\nehB4J/Ad59zH/DFnAbcAb6/v25CiRi32h8U1Cw8STl2J/aV3sEv4vB40jDzFfqlVU7vYhVczBcJJ\np2BMWuIp2t8JBie3ooJVT2krz4LVVeAlW6JJpyRZkj9zFo4VTjRl7Qd1UANJKGmfmR0GvAT4S+fc\nT51z/4uXRHq1mcWuHDEzA94FnOuc+5Zz7pfA6/CSSa/yx8zG+x2zxDn3Q+fcLcAZwHPN7Mgc134x\nXjLqL5xztzvnvgv8M/A2M5sC4Jz7iHPubOfcTc65pc65TwDfxUs+RX0a+BJwI2B5flajmWzqoWhZ\nQx2yPuFObRg7QJ1/jA/rE+5h69nRJ2Y2FTgcL5MPgHPO+V8fnfCxo8PjfddGxh8VM+aalHNKVTqw\nuilakpam7dgflrX0O6suJZyyGoYHDW2VUPeJYn+98ux0VkTRXeniVhUNozVbtu/qfxRd7QTZEk9h\ncf9/lkmkTd6wYkLSqYws5XHRMerXJAMcDaz3k0GB7+GVtB2Z8JnFeCXZ4d8rG4GbeeJ3wBHAbpEx\nvwXux/v9kfXaRwO3O+ceCo25Fq9cLm0l7RxgXDd/MzsDOAD4F3ImmmCUk009m3A0LWs5XRW6MOGo\naqKiJ9tDZx4wGYjWcD0IJP01OxYzfjUwK7RMdkHOc4oMVLSUDvKXUst4dcT+uh40VNFLcQQo9ksu\nTa1SyiNcDhcIkkzBP2dNPBUx6GcS7ff0+P138fj9d+36OpxwSlLFSqKqejVpVdNIWYAXu3dxzm0H\n1pIcz4Pjcb8nxkJjtvlJqOiYBaExg64d97tmdei9CczsVOD/4JXTBceeDHwEb4XUztjvaoDRTTYN\nsSomHGF1NicPdCHhFKdLZX4io6zKnc7yqrsRdiBPz766SukgvZS6am3H/mFdESsy6oqubmpKXCKm\nzn5NUfeu3bzrBdkST4Mk/cwH9W3aunwpW5dXX66eZXVSkURTE/2apB1m9q9mtnPA6ylVX7bi8+U+\nr5m9EPhPvNK8O/xjk/F6DJ4dbmCeV67d6Lpg58yxahrFQu6d6aYsXNxI7448uxIt/IOZsU+iy0jb\nDrtO0UnHspXFv686t81OKqPQqqbu2Dxpdx6ZNPGPgei228CgbbfXADt44olDYAxIqilaxcSnBmPA\nRufc1tCYPOeUKpXclXRYxe1M2oQuxn49aOgnxX4pa+9D997VW6iv4po6pyWNwju6HTR3xq6EU7gR\n945ZCzKXs4V/hllWN0WTZ0k704XNmz5l3CqtOmXt11SlLjQHHxaXXX45X7v88nHHUuL/v+MlXdIs\nxYvlTwof9HshzfXfixMcj66CHcPr3ReMmWpmsyKrm8ZCn89y7VV4u8yFjYXeC3/2+cBVwLucc18K\nvTUTr6zvmWb2Sf/YJO8j9jhwnHPuhwnf6y69SzZJ99T11P+AhTMbmXS08WR70ezpjV8zau1jO0au\nd0d0222AX9x2K8f86fNixzvntpnZz/F2e7gKwMwmAS8CPpFwmRuBl0WOHQfcEBlzbOQcx/nHpYOa\netgQZ68D5zSyygjqediwaPZ0lm/YAnjJ+rtXp8f1rsb+Kh40dCH2jyLFfpGJfhdKMgWrde5duzm1\nHGzH7H0ylbcNsu7eVYVWn82bPnngaqun7juLXz8QrUKaKGlVU5F+TWk/s7Td86Qa67fuTPz34kWv\nOIkXveKkccd++YvbeNkxfzJhrHNuDd7DhlRmdiMwx8wOD/VOOgYvGXNzwseCJNWxwO3+eWYBzwEu\n8sf8HHjcH/MNf8xTgP144vdElmvfAPyjmc0P9W06DtgA/Cb0fbwA+Bbwd865z0budwPwtMixt/nX\nOglYlvB9jqMyupy9m5oqp4jTRKPYQFw5XRvKPl0uk0jqwpPtOpuDj1qiqYTzgTeb2ev8HSA+BUzH\nr2k2s4+Y2aWh8Z8GDjSz88zsUDN7K3AK3lamgY8Dx5vZu/0xH8BrRvtJpBk19+2bvv/+tZ4/SRsr\nk+ow6rG/Tor9mSn216juJuHQ/VK6IvKW0MX1WwqvZAr8bu3mccmnQQatPEpqtp62aqxsKV2e8rai\niSaV0AmAX2r2XeAzZvZsM/tjvDj+VefcrpVDZnanmb3K/4wDLgTeb2avMLM/Ar4APABc6Y/ZAHwO\nON/MXmBmR+D9zrnBOfeTHNe+Fi+p9EUze7qZvQQ4F7jIOfe4f28vBK7G+730DTNb4L/mBvfrnPtN\n+AU8BDzmf50pYCjZVLNRn3CE/6gt+kS3zklHG43B9WS7X5xzlwPvAc4BbgWeDhwfelKwAFgUGr8M\nOAHvCcJteNtev8k5d11ozI3A6cBf+WNOBF7lB3LpqCofNlSxQUSTZc5taDPh1DbtQto+xf7RVXRX\nuqxNwsv0a6pDllVARWT9OUYbhcepsqwsT6IpSwmdVjWNrNcCd+LtBHc18D94sT3sELwd4ABwzn0U\n+A/gYuAnwAy83yvhVR5LgP8Gvg78CFiB97si87X9Zt4vxysHvxH4InApcFboHK8Ddgf+Ea+Ue4X/\nuiLle3b+KzMlm6DV1U1dnXDkSVYVKS3Ju31005OOpOsNw7bXoCfbeTnnLnLOHeCc2905d7Rz7qeh\n985wzh0TGf8j59zh/vgnO+e+EHPOK5xzh/pjnu6c+24T30ufVd4kvAO7kkblaRI+CuqK/UnH815P\nDxqGm2K/5NWVXenidqILBMmRYJVONKESbho+SHRVVRurybLsAlfVjnMiAefcOufca51zs5xzc5xz\nfxld7eOcmxT9PeCcO9s5t9A5N9059+Jo823n3Fbn3Nudc3s75/Z0zp3snIvuPpfl2vc7505wzu3h\nnHuSc+7vwjvK+b/DJvv3GH6N+70WOee/OOcOz/Nz6mWyqc1diZpSxYSjK6ubuiI6uejzU++ytPW1\nSDF5Hja0ubK1aPwPPtelVVNVJ5yKxP5hedAgMmqKJj+Krm6C7iScsgiXhSWViAW9cOJK8gJJZZFl\nfo5A6f5Q4dVKey/cs9I+TVB8VdO86ckPfdUcXIZJL5NNtahxdVNbEw4YPOkI3o++uqiKPhrBJCNt\nslFnvw492RbpmA6ubopTpGdfF2J/XDlYkcRNVQmnth4yKPaLjJY8CaesJXRZ+jUl9VIKkhtBAiTL\naqAkwaqppGulJfiyJp8ev/+ugWOqKlFLSjRFV3ypX5NIfko29UzRJuFdSioFZQdtTDig+GSjip2I\n8lDPDhEpq4uxvy2DYn9XGoMr9suoaKJJeJviEk51r3oKkjTBiqC4VTLRhNOBc2eMS6TEJaLSdoAL\nEl5pq5uCVyCckMr770HaqqBAll5LkD3RFKeOVU0iw0bJprAe7UzXhKCMInOC66HkBn9Jfzy3lXBq\n49x6si3SUS3F/q727Ct6zkmbVmce27XYn6bpBw0i0g1lS8CgnZK6pIRTXJIja8Ik+GxQSpfWEwrS\nVzdlKW0ctNvdsCpaQle23DBJlhVmImmUbGpIWildVyccUUEfqSruN0y9MEQkq7717GuzjLqs4EFD\nlU3LwwmaLiWc9KBBROqy7z4zW+vjlJRwSlp5k7e8LkgKRcv5sgqvaip6jrA8pW5lVjVJOdOOPaPt\nW5CG9DbZ1LcJR5WSVho13dA1mEQVecpf9olw00+4m06IqYxCpGEdWtmalNxpO/YHDxqKJNCSEi5d\nf9ig2C8iVYlLOJVdPbV1efyO0HErUpISTkGCKZxoilvVFD5HknDyaK+DFsS+4saGE03hVU2DVlAF\n8ibJ8iaa8iSxmi6h06om6bJqOqsNk/mLUsvBoqYsXMz2lfGBvqw5By9g/T35llNWPenI1SMqw2Rt\n0ezpLN+wZcLxJ4/N5O7Vm/LcWuWSElhVTDb0ZFtEqrDXgXNY97v1E463sXvcroRbJPbvuXMzj0zq\nTyNVxX4RSbL3oXvz8J0Pt30bhTx+/13stt8hTN6wYkLSZt70yazZsoN506ewZsv2TMmacKKpbIIj\nb5+m8E54af2jsqgi0VSmwXoS7UInw6i3K5uGTVJpWt4n3HWpo4QuurqpzSfcRScbfe3ZMXd3NScU\nmaCFnenyxv6mFCmhy7riWLG/PYr9IvlV0bspSZ5E1vq74h+GJ61ugnwNw+O+zrMSJ2sZXDTRVHRV\n05ot23f9871rNyeOW7xw1rhXnCpWNEF1O+RlpVVN0nVKNsWpacIxqPSg6wmnsDIldGlPevNMOqoq\npevKDkQBlVGUt3HbTtY+tiPTa+O2nW3frgy5YYj9eUroklY1KfanU+wvT7Ff4mRpSD1InQmnOOvu\nzbfKZevypalJJ8jWMDxL+Vw4wRFOSgTXj1u1NOeQRbteYVkSTVWuaoqTN9FUdFWTdqGTUaRkU8Oq\nbhZb56SjSAld2pPtrH9IN/mUO22yUdWT7a6VUejJtvRdrT37WnrYkKRLCaewpBK6OHGxPy5+KvbX\nS7FfpJymE05FxCWc8vRvGmRQoikQTi4llcwlJZqySFrV9LuUFU5xmko0DVKkhK6uVU0iVep1z6ad\nM8dybbWcS47eTVX2bZp9wEI2LFs54Xha/6a6Jx1FSuiCJ9trH0t/AnHwvD24Z82jhe/tgIUzWbay\nWK8nTTZEpIy8sX/6/vuz5b77Yt9Liv1pmor9WWRNACb17Qtk7d/X9dgvItnMOWRRYnlYF9XRw+nh\nOx/OnMhaf9fygf2Oti5fOqGkLWv/pvCxQB29hNJK7qpY1fTrBzamvp+241zRRFOTjcHrTDT1sYRu\n/dYd4xKQWcZLM7SyqQVVl1Q0rUwJXWBQEqauJ9wHLJy561X02nVONlRGIdIveeNgWvzvauwvUkI3\n6EFDFfKWwTUZ+/M+aKg79utBg0j/5C2lC4srq8vSvwmKl89lFU005S2fy7Kq6an7zkp9Jakj0SQy\nypRsSpOjnKLKCQd0d9IRK0MJXZqkP+CzJpyyTDgGTTKyXlOTDZERUHOj8D4mnMLylNDFCWJj2dif\nRZYHDFmuWWfsF5F+abucLs9KsKwJp6Irb7ImmqYtWrzrFZanIXidDpw7o7ZE06Cfbd6VY1rVJH2i\nZFOFqk44JWly0lGmhG6Q8B/kdSWcsiaZslxLkw2REVLjwwbofsKp6hK6pGR6H2J/HkVivx40iNSv\niibhYVUnnPKW5pVJOAXiEk55VzWVkZZoKrOqKa+0HefqTjSJDDut+RskR+8maK6HR95JR1K/p7zn\nLFtCt3DmVFZu2pbrM3l6eBRRdcmeJhsi9au1Z18BRXr3pcX/JE3H/ip2oRskqXdfV2J/n/s0KfaL\n1KeO/k15BAmnQT2c4ImE07RFi3f1bwqbvHHVuARPleVzcf2Z0hqC5000ldF2oqmOflgiXdL7ZFMj\nE46OJpzyqO2JeMkSurCyzcLzyJtg6vNkQ0QKqjn2Q3L872rsL1tCl1fWhFOe8+VR94pW9ekTaa5J\n+F4HLSjVBylO3QmndfeuGrgqK0vT8EDQPDytYXjdoommKhqCpyWNihjFFU0qoZM6DEUZXa3bYAc6\n2MOjKXWU0CWpq4fHk8dmjntVcU9xujjZ0JNtGVbDEPshOf7PPmBh6/F/kKT/D/LGnToT+kVjfx5d\nLJ1W7BeZqOpyOqiupK5M0qpIWV1S/6Y6moInyZroyrPTWFlNJZqKrGqqs1+TSB2GItkEDU06cmiq\nh0eTipTQVfnHbt6JQhUTDPVpEum2riWcyuzSmaSt+N9ECV1YVQ8byjxcyHI/UUVjv1Y1iTwh68qc\nKtSRcOqC9Xctz71CLG2HuroTTWUMSgjVdd5hXNEkxZjZXDP7spltMLN1ZvZZMxv4h4OZnWNmK8xs\ns5ldZ2YHR97f3cwuMrM1ZrbJzK4wsyflvbaZ7WdmV5vZo2a22sw+amaTQ+8/xcx+YGarzGyLmd1r\nZuea2ZTIeaaZ2YfMbJmZPWZmS83sjKw/p96X0YXVXlLXYkkF5J9wVFGCkarCErqwtHK6YOIQV1ZR\n9VPrJhJNWtUkUt6w9G8CKon/dcX+KkvoFs2ezvINWzKPbzL2Q/2Jprop9oukq7qkrs5yuuA+sybJ\nspTVBeV0YUVK6gZdK233uahwCV3UvOlTal/d1GSiqWu9mlRCV8iXgTHgWGAqcAlwMfDapA/Y/9/e\nvYfbVZX3Hv++SUhiCAnGYIKn0IIeMIotJkCIWi9pBIpoKQYwjQ8Wa61a6RGxYL3RQp8eQCpaoVpQ\nLlpMwZBiAYUUKFobTHqIEK0JFw2GW26E7Fw25MJ+zx9zzjD32usy11rzttb8fZ5nP2TPNdacY219\n3r3HO94xhtkFwDnAWcDjwMXAXWb2OnffFTa7AjgZmA9sA64ElgBvSfrsMKl0B/A0MAd4FfAtYA/w\n2fAeu4HrgZXAVuBo4BqCYqSoDcDNwEHAB4HHgIOBxP9n76tkUy4KTji1I+/Z8EYz21PGj2bLC/XX\nXTcacLTavynL5RDR85PSYEOkAnKI/ZBO/M8r9reaaKiN/bUHRNSL/0XH/qgPSXQT+1XVJDJSXns3\nRbJIOEF3y+GaSbJ/U6SdhFPdDcMTVDW1s1dUErWblE992eim+zZ1Ut3UaGNxVTRJO8xsBnAicIy7\nrwyvnQN838zOc/cRgcXMDPgEcLG73xZeOwvYAJwK3GRmkwmSOgvc/b6wzdnAajOb7e7LEz77BGAG\nMNfdNwGrzOzzwKVmdqG773X3tUD8D9UnzOw7wO/G+nwS8FbgMHffGl5e187Pqm+W0UXKtqQC0l9S\nV4RuT6GLq/0ju9Ef7K+Zun8q+3hE90l6r7wSTRpsZGfTzj08s313oq9NO/cU3V1JQb/EfihX/M9r\nCV1cWrG/k3v1w2EQVZ5oUOyXdmW1h1On+zi1SlS1kxxLsqyu3v5NSRNNeWuV8Eni1VMm7PuKX+vm\nue0mmjqtatJ+TaUyB9gaJXtC9wBDwOwG7zmMoBrp7uiCu28Dlof3A5gF7FfT5mGCBM/xbTx7DrAq\nTDRFlgKTgNfX61y4nO9E4L7Y5fcA/w/4tJk9aWYPm9kXzWx8g884giqbOpVThRM0XlZRqJSX0DVb\nUtHJKXWNBgzNBhKPbd7ZFxVNIpKhHqpwSlOnS+iaVbZCOWJ/JzTRIJKNvKubIJtT6mD4xuFpVjtl\nsawOqFvh1Eyre9YuoSubJJVRZaloUqKpdKYDG+MX3H2vmW0JX2v0HggqmeI2ECShoja7wyRUbZvp\nsTatnj29wXOi1x6KLprZMuCNwDjgn4ALY+85nGD53vME1VcHAf8IvIKgAqulvkw2lW3/jkj0x3qn\nSackyjQ4iWs14GglGig0GnikVQGVVLeJJu3VJJI+xf78pFlJ1irhBNnG/naVOdGk2C/9oIiEU9ay\nWGKX1rK6evs3QfpVTbWJrHr7Q7VaStco+ZPFfk5ZJJp0Al25mdklwPktms1I+7Ep36/d+54BTCTY\ns+mLwK/C/0KwCm4IWOju2wHM7JPAYjP7aGyfqYb6MtmUmzZnuCOdznQnkeXyi1ZLQiYODXa1nCLJ\nhrFlWOJQ9kSTSJXlknDqIvZD+0mnJIpcetdt7E+iDLEfyp1oEpHOZVXdVCtJ0unZNc8mXobXbsIJ\n6lck1e7f1CrRlOfpgUnUJoa6TT5VKdHU75uD/+DWxdz5vVuGXduxrbZwaJ/LgWtb3HItsB6oPSFu\nDDAlfK2e6Po0hlcdTSPYpDtqM9bMJtVUN02LvT/Js9cDx9Y8f1rstX3c/cnwn2vCjcWvNrPL3d2B\nZ4Cno0RT1I4gkfUbwC8bfNZ9+jbZlNsMdwkHHZlLYQld7UaxkXZPKOo1eQw2NLMtkoMOYz9kO+GQ\nhTRPoevl2F/2RJNiv/STflpOV0+rJXbtJpyg+2V18YRTt4peQhdPFrWbeCpLokmSe3LgBcY22Pz9\niLeezBFvPXnYtV/94mesfN9JI9q6+2Zgc6vnmdn9wIFmNjO2d9Jcgkqg5Q3eFiWp5gGrwvtMAo4D\nrgrbPEBwYtw8ghPoMLMjgUOB+8M2SZ69DPiMmR0U27fpncAA8IsmH200wZ5Ro4AXgR8D881sf3eP\nSsyPIKh2erL+LYbruw3CC9HFH+BjDj4slU23e1GjP74Pmfyy0u6H1Gm/Dj5grAYbIjnJZbNwqGzs\nr/fznThU/4+8ehT706fYL/2oiOqZLDYMb6XehuKdbDDe7ubh9cSrmGq/L6qqqdt9kaa+bMy+ryRt\n0+6LNgTvP+6+GrgTuMbMjjWzNwNXAoviJ9GZ2RozOzV8jwNfBj5nZu82szcA3wKeAm4N2wwA3wS+\nZGZvN7NZwHXAMndf0cazlxIklb5tZr9tZicCFwNXufuesG9/ZGanm9kMMzvczM4A/g74F3eP1q5+\nB3gWuC5s91aCJXbfTLKEDvo82ZTbgAO6nvEt+8Ajad/aGXBA89nesg08uhls5EGDjWKZ2RQzu9HM\nBszsOTP7hpk1XftjZqeZ2VIze9bMhszst2tef7mZfTX8ZTVoZr82s6+EMyFSBn0e+9NQLzYp9ku/\nUOzvP0UknOClpFOnJ9lBkHBKmnRqdVpdp/s0dVvVVC85M/Vlo4d9dapZ4qmKiaZ+X0KXsYUES8ru\nAe4AfgR8uKbNEQQnwAHg7pcBXwWuBlYAE4CT3D1e8n0ucDtwC/BD4GngtHae7e5DwCkE1Un3A98G\nbgC+ELvHXuACgmqoh4DPh337UOw+Owkqog4kOJXun4HvAX/R9CcT07fL6ArRxbKKSJLldYUOTLpY\nQtdok/BGyyoi0R/6RS6x6GSwoYFG5dxIsB56HjCWYCbiaoJfCI1MIPgFcRNwTZ3XXwUcDJxHMEPx\nW8DXw+unp9TvvpTrZuFRwqmL+J90aXVh8T+FJXS1FPvToYmGwin2Z6iozcLzXFKXhW42D2+0YTik\nW9U0euDpupuEJxFP/MQ3EG/vHsmHwe0mmnph2ZwSTd1x9+doHudx9xGFPe5+IcNPfKt9fRfw8fCr\nm2evA97V5PWbgZub3SNs9zBwQqt2jfR9sin304lSGHTAyIFHL818Z7VZbDt/9Kc5OGl3sFFEkkmD\njWKZ2QzgROCYaP20mZ0DfN/MzouX1Ma5+z+HbX+rwev/A8yPXVprZp8F/tnMRoUzF1IWGU04lCn+\nN5to6CT2t0o4gWJ/M4r9xVLsz4cSTp3pNuEUfw2SJZoaJalqT6JLUxqJp6T3byWNJJM2BZd+0vfJ\nJijoOOwUBh1QrkFGGjqtbmpXq0FC0gFJO4ONoiqZNNgohTnA1thGfRCUtg4BswlKTtNyIDBQtcFG\nJxT7y6NR7Id0438RsR9UyVphiv19rtcTTu2ol1QqIskHQdLmxUntL2eMEkNpJZ2SJprSqmRSokn6\nTSWSTVDgoANSGXiUQmwZxajtGzreE6tZwglINenUSNr7gWigUXnTgY3xC+6+18y2hK+lwsymEqyp\nvjqte/Y7xf4UtBH7m1U3tUo4Qfbxv59ivyYaSkGxPydFVTf1sk73nqp3Wl03VU3NNFtK12nCCdJa\nZqdEk0i3+nqD8Fq5bhgel8FeF5k46JDU+truRuFxeZ3ekxYNNvqXmV0Sbt7a7OvInPoyiWATwJ8D\nf53HM/uFYn8LKcb+bin2J6PYny3FfokrasPwbnTb51abh9fqdlPwLHWysXiStqO3rVeiSaSFtiqb\nPvWZzzN50vCDMM6cfxpnzq/dIL28CpnlhtSWVqSu3gCjRIOOPKqcutFLA6OyuOW7N7Nk8XeHXRvc\nuSOXZ9/9b7dw9+1Lhl3buW1bs7dcDlzb4rZrgfXAK+MXzWwMMCV8rStmdgDBMacDwB/GjiTNhWJ/\nF8pa5dRF7O+msjUJxf7+VRv/9xszmoGBgcyfq9jfmb9atJTJE8YNuzb/uKOYf/xReXZjnyKrm6Lk\nTS8sqUs7OZbmpuD1tKpuiuu00inSquIpaZIpTVVINN1070+4+T9W7Pt+1D/8ay6xX4rXVrLp8r+7\nmDce/TtZ9SU3lR905JBMSmuD8DIPOooebPTqzPZ7Tz+D955+xrBrjz+6hlmzZqX2jA07djGhzt4s\nR77tZI5828nDrq1d/TMeWnjyiLYA7r4Z2NzqeWZ2P3Cgmc2M7d0xl6B6dHl7vR9x70nAXcDzwHtq\njkfNhWJ/Csow4ZBS7M+jUizPZdXtUuzvXG38n3LABFauXJla/FfsT9f/XXACR//mwXk/tqmil9OV\nPenUi1VYkPxkunqJnjSW2iXVi4mmMjhz7vGcOff4fd+Pm3d2qrFfyqtSy+jiCltWAcVUDkXLJEpQ\ntdRoz45Gyrisruj+9PJgox+5+2qC2edrzOxYM3szcCWwKH4akZmtMbNTY9+/3MyOBl4XXnqtmR1t\nZtPC1ycBSwmOyf4QwaBmevhV2fjdjcrF/ui5OT077ZNIi461tcrWHymWYn91vfzV00uX2Clbf9rV\naeIlWs6WdiKo3nNSvV9Oiaaiq5qk2vQLqyh5Jn5KkGBKQ1n+yC9LP6R0FgJrCE4iugP4EfDhmjZH\nAPH1aH8ArARuBxz4l/D7PwtfnwkcBxwFPAY8HX49BfxGFh+iCgpPOOUZ+0sU/9udaIiUJeaWoR+a\naCglxf6cZb2sqx29nuDJw36HHpG4bbcJmKwST0o0iXSmMqfR1VPokopIlksrMhxkFDVYK3pZnQYb\n0oi7P0cw6GjWZlTN99cD1zdpfx+aFMhE4fG/R2N/URT7FfvLqp9j/8T3fBQeurXobtRV9HK6uLIv\nretGVqfQ5SGeIOpmr6deTTSJlEGlk01QggEHpD/oKHigkfYyilpJ/ujPYlBS9GBDAw2RdBUe/7PY\nxy/j+F9kVVhVYz8o/ov0gn5OOuUp6f5Nbd2zw8RTLyeaqlTV9OS2F2BL8pPQn9z2Qoa9kbjKJ5ug\nBAMOSG/Q0Ycz2p1Ia1BShkEGaKAhkpXSxP8+iP1ZTzQkkTRmt4r/ZYn9oPgv0kiZqpviikg6BOwe\nVQAAHNVJREFU9dtyviwSTvvuHSaQmiWdst7/KWtVSjRJuSnZFCrFgAM6TzqVYKCRVPSHc6f7d6Sl\nTIOJZjTQEMlWKeK/Yn+uFP9FJGt5JZ2ySjSltTfWnnWPtLVvU17yTihp+ZxUkZJNMaUYcESSDDwK\nGmSktYxiyvjRpRh0lJkGGiL5KE38L3HsT4tif2uK/SLJlLW6KS6eDEo78dRvFU1xWVY35aWIBJOq\nmqRMlGyqUZoBRyQ+qIgGHyUeaLS7jKJMM91lo8GGSL5KFf9LGPvT3K9Jsb8xxX6R9kQVOGVPOkF6\n1U69lmTqtLqp1xJORVcvKdEkZaNkUx3RH9SlGXRESpxk6pZmuofTYEOkGKVKOEV6IPZ3ul+TYv9w\niv0ineuFKqdIbbIoafIpryRTWkvo4vo54VR0kkmkrJRsaqKUg46CZXkSkQYdAQ02RIql2J8vVTkF\nFPtFutdLCae4VsmnslYyjTvksLbal3X/pk6VKcmkqiYpIyWbWtCg4yV5HHld9UGHBhtSRvsd8PKi\nu5C70la4FiCP2A/VnnBQ7BdJT68mnOLKmlxKQycJpyipU5YKpzIlmUCJJikvJZsSqPqgI+lAI81j\nr6s46NBgIz1PbH2eFzfvTNT26a3PZ9wb6WVVnnDIK8kUV8UJB8X+9Cj2S6QfEk5FyWIJXa1ultRF\niko8KdEkAGY2BfgqcAowBNwC/B93b/pLyMwuAj4EHAj8F/BRd38s9vp44O+BM4FxwF3Ax9x9YzvP\nNrNDga8Bbwd2ADcAf+XuI/7AMrPXAD8F9rr7y2teWwicD7wGGAB+APylu29p/hMKjErSSAJF/OFd\ntCI/85TxoyvzR3hVPmc9Uw5IL0kpkgXF/ubSnGiIVCUmVuVzihQhj6SJFGf0wNMjvvJ4Xpko0VSo\nG4EZwDyCpM9bgaubvcHMLgDOAf4MmA3sBO4ys3GxZleE95sPvA14FbCknWeb2WjgDoLCojnAB4A/\nBi6q06f9gEXAjwCvee3NBEmqa4DXAacDx4XfJ6LKpjZVpcqpTIOrfq9y0mBDpPwU+/PX77G/6jTR\nIHlQhVN78kzQZbF/U71kULcVUGVLMIGSTEUzsxnAicAx7r4yvHYO8H0zO8/dR+z4b2YGfAK42N1v\nC6+dBWwATgVuMrPJwAeBBe5+X9jmbGC1mc129+UJn30CQTJqrrtvAlaZ2eeBS83sQnffG+va3wK/\nAO4F3lTT7TnA4+5+Zfj9r83saoJKp0RU2dShMv1BnrYyfrZ+rXLqx88k0s+GDphWyhiZhjJ+rn6O\n/f34uUTKSBVOybT7c2p3c/B68kiatFP9lHe1VCd6PdE0bt7ZRXchDXOArVGyJ3QPwZK22Q3ecxgw\nDbg7uuDu24Dl4f0AZgH71bR5GFgHHN/Gs+cAq8JEU2QpMAl4fXTBzOYSVFD9OWB1+rwMOMTMft8C\n0wiqm+5o8BlHUGVTF/ptpruMA41avT7TrcGFSH/op72cuo39E4cGM1lKF9frsR8U/0WKpAqn5jpJ\nyO16Ym1qCac8T6grYwIpiV5PMvWZ6cDG+AV332tmW8LXGr0HgkqmuA0ESaioze4wCVXbZnqsTatn\nT2/wnOi1h8zsFcB1wEJ33xEUXg3n7svM7P3ATcB4gtzRvwEfb/AZR1BlUwr6YaY7jf5PHBpk4tBg\nCr1prtdmhKP+9lKfRaQ1xf6XKPaPFI/9vdRvkX6lCqf6uvm57HpibSp9UCKlOf188mFml5jZUIuv\nI9N+bMr3S3rfa4DvuPuPG97A7HXAl4G/AWYCJxFUaH09aSfaqmyq4vHX7ejVme60B0t5zHJDeWe6\nNagQqRbF/kCesR/Kd2KdYr9I+UWJFVU5pSetCiepT4mm1n61cQcD+9cWA4WvLbuTtfffNezansHt\njW51OXBti8etBdYDr4xfNLMxwJTwtXqi69MYXnU0DVgZazPWzCbVVDdNi70/ybPXA8fWPH9a7DWA\ndwDvNrNPRbcBRpnZHuBP3f164K+A/3L3vw/b/NzMdgL/aWafdfeWf/xqGV3Kem1pXVaz8lUadGiA\n0TltECv9QrE/EFU4VWHCQbFfpHdpWV1A1V7lpSRTOg5/00kc/qaThl17du1qbv/c+0e0dffNwOZW\n9zSz+4EDzWxmbO+kuQSrxpY3eFuUpJoHrArvM4ngdLerwjYPAHvCNkvCNkcChwL3h22SPHsZ8Bkz\nOyi2b9M7gQGCzcAh2NcpvsrtVOCC8Hq01vRlYX/ihqIfQ4PPOYySTRnphYFHry//iIsGHXklnzTI\nEJF6FPvzVRuLFft7gyYapAziiZYqJp6UaCovJZrKzd1Xm9mdwDVm9hFgLHAlsCh+Ep2ZrQE+7e63\nurub2ZeBz5nZo8DjwMXAU8Ct4X0HzOybwJfCPZi2A18Flrn7ijaevZQgqfRtMzsfODh81lXuvie8\nz5r4ZzKz44Ahd/9F7PJtsecsDe/zZWB5vRP36lGyKWPxP+qLHnz00wCjnvggoNmAoNPBiAYZIpJU\nbbwtMv7nHfvzqGpqRLFfRDpRteV1SjSVVz8nmvrkJLrIQoIkT3QS3GLgL2raHEFwAhwA7n6Zme0P\nXA0cCPwncJK7746959zwfrcA44A7gY+182x3HzKzU4CvEVRC7QSuB77Q4jP5sG/cbzCzAwg2BP97\nYGv4zAta3GcfJZtylNfgowxJpSIHG63UGzhEgxANKkQkC3lMPJQh9peZYr+ItFKFpFNZE015n0pX\nNv2cZOpH7v4cQdKnWZsRh7G5+4XAhU3es4sgudPwxLeEz14HvKtZm5r21xMkpGqvX0mQ2OqIkk0F\nandg0GyAokFGdzTQEJG8pBn7O7lflso80VCPYr+I1NOvSacsEk3aHLx7SjRJv1KyqYfU2wukTIOM\nSK8NNqQY2rNDJJleif0iIv2mnzYSL2tFU9Up0ST9TMmmHqRBhkhz67YMsnNDw2NNh3l2y2DGvRFJ\nR9ljvyYaJIksJxoU+yULvV7l1EtJpiotpVOSSapAySZJ3cShQQ06REQqRrFfRPpZLyWdeinBVDVK\nMkmVKNkkIiIiIiKSQG0ipyzJp35JMPVrdVPVk0x9dhKdJKRkk4iIiKRC1U0i/WXS2Rex7bpWp2VX\nW70kTx4JqLIkl3Y9sTb1TcL7LeFU9USTVJeSTZIJDThEREREpIqyTECVJcmUtShB08tJJyWZpOqU\nbBKR3OkkOhEREamSfk4SZVHdFIknbHol8aQkk0hgVNEdEBHpB2Y2xcxuNLMBM3vOzL5hZvs3aT/G\nzC41s1VmtsPMnjKzG8zs4Abtzcx+YGZDZvYH2X2S+sZOnpr3I6VHTRzSKV9SXz9ONPR77Bcpk7In\ncfase6T0fRTJkyqbJDNaSicVcyMwDZgHjAWuA64GFjZovz/wRuAi4CFgCvAV4N+AY+u0/wQwFP7b\nU+u1iIh0Q7FfJEedJnOyqopScqm1rDcHf2rzTraN35a4/fbNOzPsjcQp2SQi0iUzmwGcCBzj7ivD\na+cA3zez89x9fe173H0AOKHmPh8HVpjZb7j7k7HrRwOfBI4Bnsnuk4iISFKK/SIvyXIpXRq6TQpF\nySoll0SSa3sZnZZSSDu0nEIqYg6wNRpshO4hmI2e3cZ9DiSYud4aXTCzCcB3gI+5+4YU+iqSOcV+\nqQjFfpGK0BI5kfZpzyYRke5NBzbGL7j7XmBL+FpLZjYeuBT4jrvviL10BfBjd78tpb6KiEg6FPtF\nREQaULJJRHLVSxvEmtkl4aaszb6OTOE5+wE3E8xsfzR2/T3AO4Bzw+8teqnbZ4qISH2K/SKd2fXE\n2qK7ICIloj2bJHPaKFzy9symnWwft33E9U0/vYdND9477NreF5puEng5cG2Lx60F1gOvjF80szEE\nG7+O2LOjpl002DgEmFszs/0O4NXA1pfGGgDcYmY/cve5LfomUhjFfonLY6JBsV9ERKQ8lGwSkco4\n6I2/x0Fv/L1h13Y8+QgP/sNH6rZ3983A5lb3NbP7gQPNbGZs7465BNWjy5u8LxpsvBp4h7s/V9Pk\nEuCa+FuAnxGcTqSlFSIiCSj2i+Sn7BuFS76yPolOyk3JJhGRLrn7ajO7E7jGzD5CcPz1lcCi+GlE\nZrYG+LS73xoONhYTHIF9CrCfmUV7fDzr7nvCTWGHbQwbznKvc/dfZ/7BRLqk6ibpZ4r9IiIijWnP\nJsmFTiaSClgIrCE4iegO4EfAh2vaHAFMCv/9v4B3h/99EHg6/HqK4IQjEREpP8V+EZGKMbMpZnaj\nmQ2Y2XNm9g0z2z/B+y4ys6fNbNDM/t3MXlPz+ngzu8rMNpvZdjNbbGa1y7VbPtvMDjWzO8xsp5lt\nMLPLzGx0TRszs0+Z2SNm9oKZPWlmn6lp83YzWxm+/qiZfaCdn5Mqm0REUhAug1jYos2o2L8fp4OE\nf/weIiJSLMV+EZFKuhGYBswjqGq9DriaJr8PzOwC4BzgLOBx4GLgLjN7nbvvCptdAZwMzAe2EVTL\nLgHekvTZYVLpDoKJjDnAq4BvAXuAz8bu85XwHp8kWKo9BXhFrL+Hhff5R2BB2PYbZvaMuy9N8kNS\nsklEctNLJ9GJiIiIiIjEmdkM4ETgmGi/PjM7B/i+mZ0XX0Yde48R7Lt3sbvfFl47i2DJ9KnATWY2\nGfggsMDd7wvbnA2sNrPZ7r484bNPAGYQHD6xCVhlZp8HLjWzC919b3ifjwCvd/dHw27WLtP+CPBL\nd//L8PuHzewtBCelpp9sOvfcc5k8eTJDe3bvu3bm/NM4c/5p7dxGKkh7dkhk0aJFLFq0aNi1gYGB\ngnojSSj2i0g3ookGxf/eEsX+vU+s2Xdt/nFHMf/4owrslZSdNgeXWn0Y++cAW2MHQ0CwlHoImA18\nr857DiOoRro7uuDu28xseXi/m4BZwH41bR42s3XA8QQHTyR59hxgVZhoiiwFvga8HniIYDn3r4D3\nmNnHwzZ3A+fHDq2YE+9L7D5X1P+xjNRWsumKK65g5syZ7B5oeUCHiEhdCxYsYMGCBcOurVy5klmz\nZhXUI2lFsV86pYkGiVP87y1R7AfYdt0XCu6NiPSa6CS6Poz904GN8QthtdCW8LVG74Gawx/C76fF\n2ux292112kyPtWn17OkNnhO99hBwOPCbwHuB9xPkha4gOMAiOr51WoP7TDKzcbGlfw1pGZ1kToMN\nEZHqUewXEakWVTVJ2Wz86T1s/Om9w67tfWFH3bZmdglwfotbzkinZy89NuX7Jb3vKGAccJa7PwZg\nZn8CPGBm/zu2tK4rSjaJiIiIiIiISM8Z2DzI7tH1E0ijp8/m4N+fPeza8xseY9uvzq3X/HLg2haP\nWwusB2pPiBtDsMH2iP2aQtH12mqhacDKWJuxZjapprppWuz9SZ69Hji25vnTYq8BPAPsjRJNoWjN\n9KHAo2Hb2kqtacC2JFVN0MFpGCLt0My2RLQ5eO8bO3lq0V2QHqHYLyJSLapqkl7n7pvd/ZEWX3uA\n+4EDzWxm7O1zCXIryxvcPkpSzYsumNkk4LjwfgAPEJwYF29zJEHyJ2qT5NnLgDeY2UGxNu8EBoBf\nhN//GBhjZofH2hwR/jfaKPx+XlpSF7/PsgafcQQlmyQzGmyIiIhUmyYaRESkn7j7auBO4BozO9bM\n3gxcCSyKn0RnZmvM7NTwPQ58Gficmb3bzN4AfAt4Crg1bDMAfBP4kpm93cxmAdcBy9x9RRvPXkqQ\nVPq2mf22mZ0IXAxcFSbLINj4eyVwrZkdHT7rn4ClsWqnrwOHm9mlZvZaM/sYcDptbBCuZJOIiIik\nRhMNIiIi1RZtDt7HFhIsO7sHuAP4EfDhmjZHAJOib9z9MuCrwNXACmACcJK7746951zgduAW4IfA\n00Dt8c9Nn+3uQ8ApwIsE1UnfBm4AvhBr4wQn0m0O33878D/A+2JtHgfeRVDN9GDYtz9x939v9cOJ\naM8mEek727e+wN5xg4naPr/1hYx7IyIieVDsFxGRPLj7cwRJn2ZtRhT2uPuFwIVN3rML+Hj41c2z\n1xEkipq1eQaY36LND4GZzdo001Flk/btEBERERERERGRerSMTkREREREREREUqNkk4hkThvEilTH\nxKFky5hEREREpH8p2SSZ0YBDRESkujTRICIiUl1KNomIiIiIiIhI1ypwEp0kpGSTiIiIiIiIdGzX\nE2uL7oKIlIySTSIiIiIiIiIikholm0REREREREREJDVKNolIprRBrIiISG+bdPZFRXdBRER6zJii\nOyAiIr1j7OSp7B7YXHQ3RKTkNNEgIiJ52L55C7uGNiRuv3vLlgx7I3EdVzaNnTw1zX6IiIiIiIiI\nSI/SSXQSp8omEek72zc9x66hTYna7n72uYx7I1I9E4cG2TFKlS2SL8V+ERGR8tCeTSIiIpIqJZpE\n+o/2bRIRkXYo2SQimdGeHf1Jy6hFREQkbtwhhxXdBREpma6STRpwiIiIiEicJhpEREREezZJZrSM\noto02BARqR7FfhGR6tHG4FKPltGJSKqmHDBBgw2RCtNEQzUp9leD9m0Skbhx886uZKLJzKaY2Y1m\nNmBmz5nZN8xs/wTvu8jMnjazQTP7dzN7Tc3r483sKjPbbGbbzWyxmb2y3Web2aFmdoeZ7TSzDWZ2\nmZmNjr3+12Y2VOdrR6zNaWEfN4bPWmZmJ7Tzc+o62aSldCIS0UCjOhT7RSSi2C9SbdqvqZqqmGSK\nuRGYAcwDTgHeClzd7A1mdgFwDvBnwGxgJ3CXmY2LNbsivN984G3Aq4Al7Tw7TCrdQbCKbQ7wAeCP\ngfhswReB6bGvg4FfADfH2vwucBfw+8BM4D+A28zs6GafM06VTSLSNc1odzbDEc4qrDazHWa2JZw9\nOK5Ouzlmdm/YbsDMfmhm47P7NCIirSn2K/aLSPVUtZopYmYzgBOBD7n7f7v7fxEkkd5nZtMbvMeA\nTwAXu/tt7v4z4CyCZNKpYZvJwAeBc939PndfCZwNvMnMZrfx7BMIklHvd/dV7n4n8Hngz81sDIC7\n73T3jdEXQcLpdcA3oz67+7nufrm7P+Duv3T3zwKPAu9O+rNSskkyoWUU1aCBxjBtz3AADwN/DhwF\nvAV4HFhqZvvKhsxsDvAD4E7gWOAY4KvAULrdFxFJTrF/H8V+EamMKieZYuYAW8NkUOQegvg8u8F7\nDgOmAXdHF9x9G7A8vB/ALGC/mjYPA+uA49t49hxglbtvirVZCkwCXt+gfx8CHg6TV3WZ2SjgAODZ\nRm1qaYNwEemIBhovic0yHBMFfzM7B/i+mZ3n7uvrvc/dF9Xc5zzgT4A3EJSqQlBO+xV3vyzW9NGU\nP0JHxk6eyu6BzUV3Q0RypNj/kqrG/klnX8S2675QdDdEJEdKMg0zHdgYv+Due81sS/hao/cAbKi5\nvoEgCRW12R0moWrbTI+1afXs6Q2eE732UPyFsGJ2IfB3Dfoe+RSwP8OX2jWVSmWT9u6QWhOHBovu\ngmRE1Ux1dTLDMYyZjQU+DGwl/CUQbgh4HLAp3JRvvZndZ2ZvTrX3IiIJKPaPoNgvIn2vKokmM7uk\nwabZ8a8j035syvfr5L5/CEwEbmh4M7M/Ar4AnOHuiWeaVdkkIolpoNFQJzMcAJjZKcAiYALwDPBO\nd98Svnx4+N+/Bs4DHiTY5O8eMzvK3R9L7ROIiDSg2N+QYr+I9K1+SDINPr6c53+9Yti1od0NiyIu\nB65tccu1wHqg9oS4McCU8LV6ouvTGF51NA1YGWsz1swm1VQ3TYu9P8mz1xMsv46bFnut1oeA22qW\n3cXv/z7gGmC+u99br00jSjaJSEv9MtAYXPsTBh9fPuza0J7GVXhmdglwfovbzuiyW/cCvwNMJZjd\n/q6ZzQ4DflR9+nV3j2YbPmlmv0ewgeBnuny2iEhT/RD/FfvTp6V0ErfribU6ka7P9FKiaceGtYze\n2SCmj57EmMPnDbv04o4NsGnkquSwYqdl1Y6Z3Q8caGYzY5Wtcwli9/IGb4uSVPOAVeF9JhFUsV4V\ntnkA2BO2WRK2ORI4FLg/bJPk2cuAz5jZQbEE0juBAYIT5+Kf5TDg7TTY9NvMFhBsGn6mu/+gwWdr\nSMkmyczEoUFtFN4HenGgMbj5CXbt3jvyhfFTGffadw279OK2Z9i98ZFGt8pyhgMAdx8EfhV+rTCz\nRwj27riEYLYban4xAKsJfvEUTvs2SS3F/v6g2K/YLyLV00tJpqK4+2ozuxO4xsw+AowFrgQWxffq\nM7M1wKfd/VZ3dzP7MvA5M3uU4GCIi4GngFvD+w6Y2TeBL4UVstsJDoZY5u4r2nj2UoLfH982s/OB\ng8NnXeXue2o+zgeBpwkOpBgmXDp3A/AXwH/HTrsbrLOvVF2pJZs04BDpL7040EhbxjMcjYwm+MUB\nwS+ip4HX1rQ5ErijzfuKiLSk2K/YLyLVpERTWxYSJHmiffoWEyRl4o4gOAEOAHe/zMz2Jzix9EDg\nP4GT3H137D3nhve7BRhHcCLpx9p5trsPhUu1v0ZQCbUTuJ5gz6V9wtPlPgBc7+5e5zP+KcHvs6t4\nqfqK8F4frNN+BFU2icgIGmy0p5MZDjObAHwO+B7BDPhUgqOwDwa+G97XzeyLwN+Y2UMEm8d+gOCX\n12m5fUARqQTF/vYo9ou8REvpepeSTO1z9+cIkj7N2ow4jM3dLwQubPKeXcDHw69unr0OeFeLNkM0\nqZZ193c0e38SSjaJyD4aaHSl3RmOFwlmqW8hGGw8C6wAftfdV0dvcPevhEeSXkGwNONBgo1k12b3\nUUS6o6V0vUWxvyuVjf3at0mk9ynRJFlSskkypQFH79BgozvtznCEMxfvTXjvS4FLu+pghrSMWqR3\nKfZ3p8qxX0R6l5JMkodUk00acIj0Hg00RESqR7FfRKR6lGSSPI1YR9iPblq8pOgudKzX+96rVU23\nfPfmoruQ2JQDJuz7uuv27w37PsmXSL/q9fjZqxT781Eby9uN/yL9avFPfl50Fzqmvhfjpnt/UnQX\nEhs37+xhX0s2jR9xrdmXSJ4qsYzupsVLOHN+b+6n2Ot9f9cZ7y+6Gx1Zsvi7vPf0M1K9Zx5/3C9a\ntIgFCxZk/hyRXtDr8bOX+67YP5ziv/SrMu7btHjFz5l//FFFd6Mjvdz3JavWsvD0onvRmZv/YwVn\nzj0+9fvmkdxR7JcySz3ZNHby1Lbaa9mdlNF+Y0Zr5lekDYr90g8U+0XaN+nsixK3LVtiSgRg1EGH\nqOpHJAOFVza1O0DpxKj9xnb8HA2IOveijWbi0GDi9p0uu9DAQKT3KPb3L8V+EWmkncRUp8b864Md\nP0fJsO7teiLZgYnjDjmso/tnkhT6h39N/54iUnyyqezyGBA102ywVPbB0Gh/cdj3rX6WU7LsjIhI\nGxT7O6fYLyK9Ko9kWDOtEmVlToYNvbBzRKKp6J+niBQrabJpPMDq1asz7Ep2BgYGWLlyZdHd6Egv\n93374PP8/JfrYlfWNWxbNr36c+/Vfsdiy/g07vfi4LOZtK0gxf6C9HLfFfuL0at9TzP+K/anRrG/\nIC37/jun5teZNu2c9EMeq+1fj/zv0Nf/nympNGP/0OCWTNtL58zdWzcy+yPgxuy7IyIVt9Ddv9Pp\nm81sJvBAh2+f5e6999s6Q4r9IpKjjuO/Yn+6FPtFJEdFxX5Q/M9c0mTTK4ATgceBFzLuk4hUz3jg\nt4C73L3j6WYzmwC8tsO3r3H35BvNVIBiv4jkoOv4r9ifLsV+EclB0bEfFP8zlyjZJCIiIiIiIiIi\nksSoojsgIiIiIiIiIiL9Q8kmERERERERERFJjZJNIiIiIiIiIiKSGiWbREREREREREQkNUo2iYiI\niIiIiIhIapRsEhERERERERGR1CjZJCIiIiIiIiIiqfn/PgXNZh9YkFUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1906f0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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h8HxgA/BbwOfM7HnOuR97PrZ4posN+Y9XpSovNKj294dqv1TJ57S6SeFFmWON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\nSB8cNO+Apk+h1bp6kQGGdaEBFDiJSDe1bapaVnUHSnlUfXc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3blXg2D9ajgPN5DvNzV6Z\nFgevChfAys9xwLJyLTb5B4ZVhZON8cjGBC8OXl++yDAejltWFY4HzeLksr7KVNwpU1/MbDCzWrOp\nF/+wGJ+phQcxb/uviu6GmZljv1WKC3bj02/9Jqs+F5maoej1m1xkqp5e6zeNyrYtO9izz/aB2j6/\nZceIe2MtuYxscrIxfv7BPDy/d+Pl+FBf/rsdP8ev4fm9K4ZHtdaTC03NMu6Cz6uWvuzFR1l5vSaz\n/uZcbHKyURz/cJ49v2c2KpIWS7pS0qSkrZIulbRwFvtfJGlK0sfbti+VdIWkJyQ9K+keSe/O/xXM\njmN/cRzHzMqjabEfXGhqqnEUfspeYLLBeXFwgyGLTa2rVE42iuekw6w0rgSWA6uBE4DfBy4eZEdJ\n7wKOBh4Hou3pbwGvAd4BvB64Gvh7Sb+TT7dnz7G/eI79s+P3qxgNiRWNif3gQlNeqro4+CiKQVUY\nxWRmwxl6zaaG/ICwGnGyUZwkXtR3KoWk5cDxwBsiYn267XTgeklnRMSmHvu+Evgr4K3A9R2arAJO\ni4h/Sv/8PyWtBVYAP83xZQzEsb88vH7fYBz7bVSaFPtdZLKsboWh2aztVOXikqfQmQ0mtwXCrTit\nH9JOOqys9t2v9v8orwKebiUbqVuBKZKr1t/ttJOkecAVwLkRsUFSp2Z3AO+VdD0wCbwH2Be4Lbfe\nW2W54GRWKMd+s4wqF5DMLH+5LBBu5eCrt935vbERWwo8md0QEXuALelz3XwK2BURX+vR5j3AfOBX\nwA7gIuBdEfHQnHpsteH41p3fGxsxx34zM7MuXGyqGf+wnsnviQ1L0jnpwq29HkcOeeyVwMeAD7Y/\n1fbn/wHsD/wBsBL4CvAPkl4/zHmtnhznrIyqOqrVsd/MzGzuPI2uhjytwqyzHY+tZ+djP5m2bWr3\njl67nAdc1uewDwObgIOzGyXtDSxOn+vkLek+j2amUOwFfFnSxyNimaTDgT8BXh8RP0/b/LOkt6Tb\n/7hP36xBHPuncwHOWhz7zSwvXq+pv5XX3lx0F6wkXGyqKScdCScbzbRj62Z27W6/sQ+w78vZ+/C3\nTts09eyT7PlV51kJETEBTPQ7n6Q7gUWSVmTW7jiWZPToXV12+xZwU/YwwI3p9svTbS9N//tC275T\nzLwKbubYn3LsbybHfquKA5ctquwd6czMBuVpdDXW9B/bTX/9Nj4RsQG4AbhE0hslvQm4AFiXvRuR\npI2S3pnusyUifp553AfsBjZFxAPpLhuAB4GL0+MeLukMkltsXzPGl2gV4thnNh5Niv0eqWBmZrPl\nYlPNOemwolV1zY4hnAxsJLkT0XXAD4GPtLU5gmQNjoGkC82+HXgKuBb4GfB+4JSIuCGHPltNNTn2\nN/m1WyEc+20ono5VPf47M5sdT6NrgCZNq3CSYUWJiK0kSUevNj0L/BFxWIdtDwInza13+dl3v0Xs\n3Oah/1XQpNgPjv9l05QLDU2J/WZmZrM1dLHJCUe1tH6E1zXxcJJhZjZTNjbWMf479ptZlXntJrN8\nbJuYYOfUS/s3BHZt6bskn+XEI5sapk5FJycZZmaDc/w3MzMbjqfQDcbru1mW12xqqKmFB734qJqq\n9tvMrAyqGkOr/O+WWR04iRwNFzHMrK48sskqc7XbCYZZOXgadT049puZmZnZqMyp2OSEo17KmHg4\nyai2piwQa1Zljv2WN8d+s9nx2k1mVkce2WQzlCHxcKJRfU42zKrFsd/y4NhvZnXjqY79eZqtdeI1\nm6yrItbG8Hoc1bfvfoucbJhVWBFrIzn2V59jfzM4oRwdFzSsqhwXrJs5F5v8w6L+8kwCsklMp4dV\nm+NBc/jvuhnyis2O/fXmeGBmdeUiYHcrr725sYUmSYslXSlpUtJWSZdKWjjAfn8h6XFJz0m6WdKr\n255fIOlCSROStkm6StLBsz23pEMkXSdpu6TNks6VtFfm+T+TNNXh8WymzTEdnn+hvT+9eBqdDSyb\nEHSbZuGkoZmcaJjV2yBT7Bz/m8ex3yxfXrupXFxo6q6pRaaMK4ElwGpgPnA5cDFwcrcdJH0KOB04\nBXgEOBu4UdJrI2Jn2ux84O3AScAzwAXA1cCbBz13WlS6DngcWAW8AvgWsBv4bHqMLwF/ne0ecCtw\nd4euvwbYlvnzU91eYzsXm2woTiqsxcmGWXM49luLY39zrbz2Zu55x3FFd8NsZFxk6s5FJpC0HDge\neENErE+3nQ5cL+mMiNjUYR8BnwDOjohr022nAJuBdwLflnQAcCqwJiJuS9t8ENgg6eiIuGvAc78V\nWA4cGxFPAfdK+jzwRUlnRcSeiNgObM/077eB1wL/pcNLnoiIyWHeK6/ZZGZD8foc5r9/s+Zx7Dcb\nLRc6iuX3v7MmT5nrYBXwdKvYk7oVmAKO7rLPYSSjkW5pbYiIZ4C70uMBrAT2aWvzC+BR4Hdnce5V\nwL1poanlJmB/4HVd+vdh4BcR8aMOz/00nfp3k6Tf67J/R7mMbNp3v0Xs3OYhn2ZNUIUkY8/z25D2\nHahtPL+tfyMzMyt9/HfsN7O5cKGpMxeZZlgKPJndEBF7JG1Jn+u2DyQjmbI2kxShWm12pUWo9jZL\nM236nXtpl/O0nvtZ9glJC0im4H2hbZ/HSUY6/ROwgKQgdVs6yuonHV7jDJ5GZ2YDK3uiYWZm+XPs\nNxsvr900fi40zdS0IpOkc4Az+zRbnvdpcz7eMMd9F/Ay4JvZjRFxP3B/ZtOdkg4H1pKsO9WXi01m\n1pcTDTOzZnL8t068bpPViQtNM1Wt0LT9qX9lx/M7Zmzf/eQG9jy1cdq22LNzRrvUecBlfU71MLAJ\naL9D3N7A4vS5TlrblzB91NESYH2mzXxJ+7eNblqS2X+Qc28C3th2/iWZ59p9GLi2bdpdNz8G3jRA\nO8DFJjPrw4mG9eJp1Gb15NhvVqxWAcQjnEbHRaaZqlZk6mefg5ezz8HTByO98Oxmnv/J385oGxET\nwES/Y0q6E1gkaUVm7aRjSdbDvqvLbq0i1Wrg3vQ4+wNHARembe4huWPcapI70CHpSOAQ4M60zSDn\nvgP4jKSXZwpIxwGTwM/bXsthwDHAO/q97tTvkEyvG0huxSYnHGb14kTDzKyZHP/NysNT6kbDhaaZ\n6lZoGpWI2CDpBuASSacB84ELgHXZO9FJ2gh8OiKuiYiQ9JfA5yQ9ADwCnA38ErgmPe6kpK8DX0nX\nYNoGfA24IyLunsW5byIpKl0h6UzgN9JzXRgRu9tezqkkxaPvt79OSZ8AHkqP1Vqz6RiSu90NxCOb\nzGwGJxpmZs3j2G9WTi445cuFpulcZBrKySRFntad4K4CPtbW5giSO8ABEBHnSloIXAwsAv4P8LaI\n2JXZZ216vO8A+wI3AP91NueOiClJJwB/QzISajvwDeBPsweRNA/4APCNiIgOr3Ef4MvAK4HnSBYW\nXx0Rt3d5T2ZwscnMXuREw8yseRz7bRhet2m8PK0uHy40TedC03AiYitJ0adXm3kdtp0FnNVjn53A\nR9PHXM79KPCHfdpMkUzR6/b8l4Av9TpGPy42mRngZMOG52nUZtXl2G9WLR7lNDwXmn7NRSYbh1yL\nTU44zKrHiYaZWfM49ptVlwtOs+Mi03QuNNm4zBjaVUff/oeriu7C0Nz3YlSp7/vut2ja4+rvfX/G\ntl4Py4ekxZKulDQpaaukS9N52b32+YakqbbH9R3arZL0A0nPpse/XdKC0b2aeqjS97id+16MKvXd\nsb8cmh77y5i03vDLbnceL7/Z9P3AZYtKVUT5weSviu7C0Kr0mVl57c3THve/79QZ2/o9zMalEdPo\n/v6q7/Af/+ikorsxFPe9GKPo+7h+3K9bt441a9aM5Vw2zZXAEpLblc4HLidZALDXnOogufvDBzPb\ndmYbSFqVtvkC8CfAHuC3SRYELI0yjmx1DCqG+z7TOOK/Y39hGh37y+jGxzfxtlcuLbobQxmm72UZ\n5fS/J7dw7AEHFd2NGQYpyI3qMzOOwo5jv5VZ7sWm2f6gKltyYgYwb+99fOXXBiZpOXA88IaIWJ9u\nOx24XtIZ2dugtu8K7IqIJ3sc/nzgqxFxbmbbA3n0O2+z+c449lsZOfbbbDj2J2aTUHtB8dEoS8Gp\nDIYZ7bXoqFWs/Md/HEFvzJqt8JFN4/hRN5cfj06Iys+JgZXAKuDpVrKRat2O9Gjgu132C+AYSZuB\nrcAPgM9FxBYASQcDRwF/K+kOYBmwEfhsRPxoJK9kTBz7ba4c+60EHPtnaRwjPRadeOLQhYMqF8Pq\neLe6ToWjkXyGTjwx/2OaWfHFprIr+sdsr2SpaslQ0e+l2QgtBaZdoY6IPZK2pM91cwPwHeBh4NUk\n0yW+L2lVejvSZWm7PwPOAH4KfAC4VdLrI+LBXF+FvajoeOXYb1YJjv01U/R6Nv0KZYMUw9oLNEUW\nn1bf9+PCzm1mxRu02LQAYMOGDSPsyuhMTk6yfv36/g1LqMp937b9Oe574KGiuzGUKr/vVex7Jrbk\nsvBp7JjMpa2kc4Az+xxi+cAnaz93xLczf7xP0r3AvwDHkFzpbt3E4aKI+Gb6/5+U9AfAqcBnhj33\ngBz7C1Llvjv2F6Oqfc8z/jv256qy8b+q3wXo33f9+RdnfczFc+nQLMxfu5bF558/bVtV/h7q/Jkp\nq7x/+089t2UkbW1uFBH9G0nvI1kA0cxslE6OiL8bdmdJK4B7htx9ZdtUCCT9G/r/TnsY+E/AeRHx\nYltJewPPAydFRLepFDNIepJkqsQlkg4jSUDen31fJP0vYE9EvH/Q4w7Dsd/Mxmjo+O/Ynz/HfzMb\nk1L99rd8DTqy6UaSu2o8AuwYWW/MrKkWAIeSxJq52AisnMO+00TEBDDRb0dJdwK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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1906f2e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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L8j5tLiguZEoKltJUGTxlDZySwiaI37cpb9ikrqaRkauDFfg68AEzO8cbcyRw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\nSZIkSVKBXCS82QyXpIUxaJLUCpNbtvHivh8ZqO2+Hdv6N5Ik9VXFDFb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      "text/plain": [
       "<matplotlib.figure.Figure at 0x18d3fef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Pqv3SPQah9kt9emmfnnUP/TF329kHPafGOymmG2c0ibSZderChUKmc845h2m7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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x19b8cd68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare(x, y, nxx, kxx)\n",
    "compare(x, y, nxy, kxy)\n",
    "compare(x, y, nxz, kxz)\n",
    "compare(x, y, nyy, kyy)\n",
    "compare(x, y, nyz, kyz)\n",
    "compare(x, y, nzz, kzz)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [default]",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
